67983 has 16 divisors (see below), whose sum is σ = 101376. Its totient is φ = 40320.

The previous prime is 67979. The next prime is 67987. The reversal of 67983 is 38976.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (67979) and next prime (67987).

It is not a de Polignac number, because 67983 - 2² = 67979 is a prime.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67987) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1560 + ... + 1602.

It is an arithmetic number, because the mean of its divisors is an integer number (6336).

2⁶⁷⁹⁸³ is an apocalyptic number.

67983 is a deficient number, since it is larger than the sum of its proper divisors (33393).

67983 is a wasteful number, since it uses less digits than its factorization.

67983 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94.

The product of its digits is 9072, while the sum is 33.

The square root of 67983 is about 260.7354981586. The cubic root of 67983 is about 40.8131493564.

The spelling of 67983 in words is "sixty-seven thousand, nine hundred eighty-three".